Garcke, Harald and Ito, Kazuo and Yoshihito, Kohsaka (2005) Linearized stability analysis of stationary solutions for surface diffusion with boundary conditions. SIAM Journal on Mathematical Analysis 36 (4), 1031-1056 .
The linearized stability of stationary solutions to the surface diffusion flow with angle and no-flux boundary conditions is studied. In this linearized stability analysis the gradient flow structure plays a key role. As a byproduct the analysis also gives a criterion for the stability of critical points of the length functional of curves which come into contact with the outer boundary. Some examples of linearized stability are studied as well.
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|Institutions:||Mathematics > Prof. Dr. Harald Garcke|
|Keywords:||surface diffusion, gradient flow, stability of stationary solutions, eigenvalues, isoperimetric problems|
|Subjects:||500 Science > 510 Mathematics|
|Created at the University of Regensburg:||Unknown|
|Deposited On:||20 Nov 2009 07:02|
|Last Modified:||13 Mar 2014 12:06|